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Finding the Fourth Proportional to 8,307.75, 12,445.64 and 6,543.42

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Solution

The fourth proportional to 8,307.75, 12,445.64 and 6,543.42 is: 9,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.75 : 12,445.64 = 6,543.42 : x
  2. Step 2: Convert to fraction form
    8,307.75/12,445.64 = 6,543.42/x
  3. Step 3: Cross multiply
    8,307.75x = 12,445.64 × 6,543.42
  4. Step 4: Simplify right side
    8,307.75x = 81,437,016.97
  5. Step 5: Solve for x
    x = 81,437,016.97/8,307.75
  6. Step 6: Final answer
    x = 9,802.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.